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Q: What graph the Function f(x)=( square root of ) x+5 And include 4 points?

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Test it by the vertical line test. That is, if a vertical line passes through the two points of the graph, this graph is not the graph of a function.

The vertical line test can be used to determine if a graph is a function. If two points in a graph are connected with the help of a vertical line, it is not a function. If it cannot be connected, it is a function.

If a vertical line, within the domain of the function, intersects the graph in more than one points, it is not a function.

Since there are no "following" points, none of them.

The function is not continuous.

The "vertical line test" will tell you if it is a function or not. The graph is not a function if it is possible to draw a vertical line through two points.

They mean the graph/function is decreasing.

You find the average rate of change of the function. That gives you the derivative on different points of the graph.

The zeros of a polynomial represent the points at which the graph crosses (or touches) the x-axis.

We set the denominator to zero to find the singularities: points where the graph is undefined.

The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.

A graph that is not a function, fails the vertical line test. You can draw it by connected all ordered pair of points in a rectangular coordinate system.

The function y = x is the graph that passes from the points (-1, -1), (0, 0), and (1, 1) The function y = 4x is the graph that passes form the points (-1, -4), (0, 0), and (1, 4) Sketch these graphs in a same x and y coordinate system, and you can see both of them

It is a function. If the graph contains at least two points on the same vertical line, then it is not a function. This is called the vertical line test.

For example, if the slope at a certain point is 1.5, you can draw a line that goes through the specified point, with that slope. The line would represent the slope at that point. If you want to graph the slope at ALL POINTS, take the derivative of the function, and graph the derivative. The derivative shows the slope of a function at all points.

doesn't exist

A linear function is called "linear" because it represents a straight line. To graph a linear function, find two points that satisify that function, plot them, and then draw a straight line between them.

A graph that has isolated points is discontinues if isolated means that a point is plotted say a but the limit as f(x) approaches a does not equal a

I don't understand your question but y=3x is the function of a graph, to graph the function you would plug points into the function such as x=0, x=1, x=-1 and you would find the y values at each point so that you can graph it. In this case the graph is a parabola which has a u shape.

No, a circle graph is never a function.

To graph points, use rise over run and go up and over on the graph

A cartesian graph is a graph in which y is some function of x. This is the 'normal' type in which you can give an x and y coordinate. Other types include polar in which modulus is a function of argument, but there are loads of varieties and forms.

A function cannot have any value of x mapped to more than one vaue of y. So, if any line parallel to the y-axis meets the graph at more than 1 points it is not a function.

A non-linear graph. It could be a polynomial (of a degree greater than 1), a power function, a logarithmic or trigonometric graph. In fact any mathematical function other than a linear equation.